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Finding the Fourth Proportional to 7,415.40, 11,123.10 and 7,156.20

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Solution

The fourth proportional to 7,415.40, 11,123.10 and 7,156.20 is: 10,734.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,415.40 : 11,123.10 = 7,156.20 : x
  2. Step 2: Convert to fraction form
    7,415.40/11,123.10 = 7,156.20/x
  3. Step 3: Cross multiply
    7,415.40x = 11,123.10 × 7,156.20
  4. Step 4: Simplify right side
    7,415.40x = 79,599,128.22
  5. Step 5: Solve for x
    x = 79,599,128.22/7,415.40
  6. Step 6: Final answer
    x = 10,734.30

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.